The value of |$ \lambda$| is?

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Can anyone help me type this stuff out? I am new to MathJax. Also, I have no idea what to do in the question. Seems really complicated.

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Plugging the values into the functions, we have, $$g (5,-3) =8$$ $$g (-1.25, 14.75) =16$$ $$f (8, 16) =16 =2^4 =2^{2^{2}} =(-2)^{(-2)^{2}} = \lambda^{\lambda^{2}} $$ Thus $$|\lambda|=2$$